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Finding the Fourth Proportional to 282,032.46, 423,409.41 and 242,305.65

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Solution

The fourth proportional to 282,032.46, 423,409.41 and 242,305.65 is: 363,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,032.46 : 423,409.41 = 242,305.65 : x
  2. Step 2: Convert to fraction form
    282,032.46/423,409.41 = 242,305.65/x
  3. Step 3: Cross multiply
    282,032.46x = 423,409.41 × 242,305.65
  4. Step 4: Simplify right side
    282,032.46x = 102,594,492,306.17
  5. Step 5: Solve for x
    x = 102,594,492,306.17/282,032.46
  6. Step 6: Final answer
    x = 363,768.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.